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7055136 = 25321117131
BaseRepresentation
bin11010111010011100100000
3111021102211100
4122322130200
53301231021
6411114400
7113652624
oct32723440
914242740
107055136
113a896a0
122442a00
13160034a
14d19184
15945626
hex6ba720

7055136 has 144 divisors (see below), whose sum is σ = 23351328. Its totient is φ = 1996800.

The previous prime is 7055117. The next prime is 7055141. The reversal of 7055136 is 6315507.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53791 + ... + 53921.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

Almost surely, 27055136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675664).

7055136 is an abundant number, since it is smaller than the sum of its proper divisors (16296192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7055136 is a wasteful number, since it uses less digits than its factorization.

7055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 7055136 is about 2656.1505981401. The cubic root of 7055136 is about 191.7940499988.

The spelling of 7055136 in words is "seven million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 131 132 136 144 153 176 187 198 204 262 264 272 288 306 352 374 393 396 408 524 528 544 561 612 748 786 792 816 1048 1056 1122 1179 1224 1441 1496 1572 1584 1632 1683 2096 2227 2244 2358 2448 2882 2992 3144 3168 3366 4192 4323 4454 4488 4716 4896 5764 5984 6288 6681 6732 8646 8908 8976 9432 11528 12576 12969 13362 13464 17292 17816 17952 18864 20043 23056 24497 25938 26724 26928 34584 35632 37728 40086 46112 48994 51876 53448 53856 69168 71264 73491 80172 97988 103752 106896 138336 146982 160344 195976 207504 213792 220473 293964 320688 391952 415008 440946 587928 641376 783904 881892 1175856 1763784 2351712 3527568 7055136